Introduce batting, however briefly (6)
I believe the answer is:
instil
'introduce' is the definition.
(I know that instil is a more specific form of the action introduce)
'batting however briefly' is the wordplay.
'batting' becomes 'in' (cricket term).
'however' becomes 'still' (synonyms).
'briefly' means to remove the last letter.
'still' with its last letter taken away is 'stil'.
'in'+'stil'='INSTIL'
(Other definitions for instil that I've seen before include "Introduce gradually into mind, say ideas" , "Introduce into mind, being in list" , "Inject ideas into mind" , "Put in drop by drop" , "Plant gradually into the mind" .)